A number of cats got together and decided to kill 999919 rats. Every cat killed an equal number of rats. Each cat killed more rats than there were cats. How many rats do you think each cat killed?
Check if you were right - full answer with solution below.
Solution:
Total number of rats = 999919,
999919 = 1000000 - 81 => (10002 - 92 )
Using a2 - b2 = (a + b) (a - b)
= (1000 + 9) ( 1000 - 9)
= 1009 * 991
Here, each cat killed more rats than there were cats.
Therefore, 991 cats killed 1009 rats each.